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Popular >

simplify ln(27/8)

Solution

simplify

ln (\frac{27}{8})

Solution

3 ln (3) - 3 ln (2)

+1

Decimal Notation

1.21639 \dots

Solution steps

ln (\frac{27}{8})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{27}{8}) = ln (27) - ln (8)

= ln (27) - ln (8)

ln (27) = 3 ln (3)

ln (8) = 3 ln (2)

= 3 ln (3) - 3 ln (2)

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Frequently Asked Questions (FAQ)

What is ln(27/8) ?
The solution to ln(27/8) is 3ln(3)-3ln(2)